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diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl
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+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 0
+0 0 1 0 0 10 24 32 0
+0 0 1 0 0 11 24 32 0
+0 0 1 0 0 12 24 32 0
+0 0 1 0 0 13 24 32 0
+0 0 1 0 0 14 24 32 0
+0 0 1 0 0 15 24 32 0
+0 0 1 0 0 16 24 32 0
+0 0 1 0 0 17 24 32 0
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 19 24 32 0
+0 0 1 0 0 20 24 32 0
+0 0 1 0 0 21 24 32 0
+0 0 1 0 0 22 24 32 0
+0 0 1 0 0 23 24 32 0
+0 0 1 0 0 24 24 32 0
+0 0 1 0 0 25 24 32 0
+0 0 1 0 0 26 24 32 0
+0 0 1 0 0 27 24 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 0
+0 0 0 0 0 2 24 32 0
+0 0 0 0 0 4 24 32 0
+0 0 0 0 0 6 24 32 0
+0 0 0 0 0 8 24 32 0
+0 0 0 0 0 10 24 32 0
+0 0 0 0 0 12 24 32 0
+0 0 0 0 0 14 24 32 0
+0 0 0 0 0 16 24 32 0
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 20 24 32 0
+0 0 0 0 0 22 24 32 0
+0 0 0 0 0 24 24 32 0
+0 0 0 0 0 26 24 32 0
+0 0 0 0 0 28 24 32 0
+0 0 0 0 0 30 24 32 0
+0 0 0 0 0 32 24 32 0
+0 0 0 0 0 34 24 32 0
+0 0 0 0 0 36 24 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 0
+1 0 1 0 0 10 24 32 0
+1 0 1 0 0 11 24 32 0
+1 0 1 0 0 12 24 32 0
+1 0 1 0 0 13 24 32 0
+1 0 1 0 0 14 24 32 0
+1 0 1 0 0 15 24 32 0
+1 0 1 0 0 16 24 32 0
+1 0 1 0 0 17 24 32 0
+1 0 1 0 0 18 24 32 0
+1 0 1 0 0 19 24 32 0
+1 0 1 0 0 20 24 32 0
+1 0 1 0 0 21 24 32 0
+1 0 1 0 0 22 24 32 0
+1 0 1 0 0 23 24 32 0
+1 0 1 0 0 24 24 32 0
+1 0 1 0 0 25 24 32 0
+1 0 1 0 0 26 24 32 0
+1 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0
+2 0 1 0 0 10 24 32 0
+2 0 1 0 0 11 24 32 0
+2 0 1 0 0 12 24 32 0
+2 0 1 0 0 13 24 32 0
+2 0 1 0 0 14 24 32 0
+2 0 1 0 0 15 24 32 0
+2 0 1 0 0 16 24 32 0
+2 0 1 0 0 17 24 32 0
+2 0 1 0 0 18 24 32 0
+2 0 1 0 0 19 24 32 0
+2 0 1 0 0 20 24 32 0
+2 0 1 0 0 21 24 32 0
+2 0 1 0 0 22 24 32 0
+2 0 1 0 0 23 24 32 0
+2 0 1 0 0 24 24 32 0
+2 0 1 0 0 25 24 32 0
+2 0 1 0 0 26 24 32 0
+2 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 0
+2 0 0 0 0 2 24 32 0
+2 0 0 0 0 4 24 32 0
+2 0 0 0 0 6 24 32 0
+2 0 0 0 0 8 24 32 0
+2 0 0 0 0 10 24 32 0
+2 0 0 0 0 12 24 32 0
+2 0 0 0 0 14 24 32 0
+2 0 0 0 0 16 24 32 0
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 20 24 32 0
+2 0 0 0 0 22 24 32 0
+2 0 0 0 0 24 24 32 0
+2 0 0 0 0 26 24 32 0
+2 0 0 0 0 28 24 32 0
+2 0 0 0 0 30 24 32 0
+2 0 0 0 0 32 24 32 0
+2 0 0 0 0 34 24 32 0
+2 0 0 0 0 36 24 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0
+3 0 1 0 0 10 24 32 0
+3 0 1 0 0 11 24 32 0
+3 0 1 0 0 12 24 32 0
+3 0 1 0 0 13 24 32 0
+3 0 1 0 0 14 24 32 0
+3 0 1 0 0 15 24 32 0
+3 0 1 0 0 16 24 32 0
+3 0 1 0 0 17 24 32 0
+3 0 1 0 0 18 24 32 0
+3 0 1 0 0 19 24 32 0
+3 0 1 0 0 20 24 32 0
+3 0 1 0 0 21 24 32 0
+3 0 1 0 0 22 24 32 0
+3 0 1 0 0 23 24 32 0
+3 0 1 0 0 24 24 32 0
+3 0 1 0 0 25 24 32 0
+3 0 1 0 0 26 24 32 0
+3 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0
+4 0 1 0 0 10 24 32 0
+4 0 1 0 0 11 24 32 0
+4 0 1 0 0 12 24 32 0
+4 0 1 0 0 13 24 32 0
+4 0 1 0 0 14 24 32 0
+4 0 1 0 0 15 24 32 0
+4 0 1 0 0 16 24 32 0
+4 0 1 0 0 17 24 32 0
+4 0 1 0 0 18 24 32 0
+4 0 1 0 0 19 24 32 0
+4 0 1 0 0 20 24 32 0
+4 0 1 0 0 21 24 32 0
+4 0 1 0 0 22 24 32 0
+4 0 1 0 0 23 24 32 0
+4 0 1 0 0 24 24 32 0
+4 0 1 0 0 25 24 32 0
+4 0 1 0 0 26 24 32 0
+4 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 0
+4 0 0 0 0 2 24 32 0
+4 0 0 0 0 4 24 32 0
+4 0 0 0 0 6 24 32 0
+4 0 0 0 0 8 24 32 0
+4 0 0 0 0 10 24 32 0
+4 0 0 0 0 12 24 32 0
+4 0 0 0 0 14 24 32 0
+4 0 0 0 0 16 24 32 0
+4 0 0 0 0 18 24 32 0
+4 0 0 0 0 20 24 32 0
+4 0 0 0 0 22 24 32 0
+4 0 0 0 0 24 24 32 0
+4 0 0 0 0 26 24 32 0
+4 0 0 0 0 28 24 32 0
+4 0 0 0 0 30 24 32 0
+4 0 0 0 0 32 24 32 0
+4 0 0 0 0 34 24 32 0
+4 0 0 0 0 36 24 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0
+5 0 1 0 0 10 24 32 0
+5 0 1 0 0 11 24 32 0
+5 0 1 0 0 12 24 32 0
+5 0 1 0 0 13 24 32 0
+5 0 1 0 0 14 24 32 0
+5 0 1 0 0 15 24 32 0
+5 0 1 0 0 16 24 32 0
+5 0 1 0 0 17 24 32 0
+5 0 1 0 0 18 24 32 0
+5 0 1 0 0 19 24 32 0
+5 0 1 0 0 20 24 32 0
+5 0 1 0 0 21 24 32 0
+5 0 1 0 0 22 24 32 0
+5 0 1 0 0 23 24 32 0
+5 0 1 0 0 24 24 32 0
+5 0 1 0 0 25 24 32 0
+5 0 1 0 0 26 24 32 0
+5 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0
+6 0 1 0 0 10 24 32 0
+6 0 1 0 0 11 24 32 0
+6 0 1 0 0 12 24 32 0
+6 0 1 0 0 13 24 32 0
+6 0 1 0 0 14 24 32 0
+6 0 1 0 0 15 24 32 0
+6 0 1 0 0 16 24 32 0
+6 0 1 0 0 17 24 32 0
+6 0 1 0 0 18 24 32 0
+6 0 1 0 0 19 24 32 0
+6 0 1 0 0 20 24 32 0
+6 0 1 0 0 21 24 32 0
+6 0 1 0 0 22 24 32 0
+6 0 1 0 0 23 24 32 0
+6 0 1 0 0 24 24 32 0
+6 0 1 0 0 25 24 32 0
+6 0 1 0 0 26 24 32 0
+6 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 0
+6 0 0 0 0 2 24 32 0
+6 0 0 0 0 4 24 32 0
+6 0 0 0 0 6 24 32 0
+6 0 0 0 0 8 24 32 0
+6 0 0 0 0 10 24 32 0
+6 0 0 0 0 12 24 32 0
+6 0 0 0 0 14 24 32 0
+6 0 0 0 0 16 24 32 0
+6 0 0 0 0 18 24 32 0
+6 0 0 0 0 20 24 32 0
+6 0 0 0 0 22 24 32 0
+6 0 0 0 0 24 24 32 0
+6 0 0 0 0 26 24 32 0
+6 0 0 0 0 28 24 32 0
+6 0 0 0 0 30 24 32 0
+6 0 0 0 0 32 24 32 0
+6 0 0 0 0 34 24 32 0
+6 0 0 0 0 36 24 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0
+7 0 1 0 0 10 24 32 0
+7 0 1 0 0 11 24 32 0
+7 0 1 0 0 12 24 32 0
+7 0 1 0 0 13 24 32 0
+7 0 1 0 0 14 24 32 0
+7 0 1 0 0 15 24 32 0
+7 0 1 0 0 16 24 32 0
+7 0 1 0 0 17 24 32 0
+7 0 1 0 0 18 24 32 0
+7 0 1 0 0 19 24 32 0
+7 0 1 0 0 20 24 32 0
+7 0 1 0 0 21 24 32 0
+7 0 1 0 0 22 24 32 0
+7 0 1 0 0 23 24 32 0
+7 0 1 0 0 24 24 32 0
+7 0 1 0 0 25 24 32 0
+7 0 1 0 0 26 24 32 0
+7 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0
+8 0 1 0 0 10 24 32 0
+8 0 1 0 0 11 24 32 0
+8 0 1 0 0 12 24 32 0
+8 0 1 0 0 13 24 32 0
+8 0 1 0 0 14 24 32 0
+8 0 1 0 0 15 24 32 0
+8 0 1 0 0 16 24 32 0
+8 0 1 0 0 17 24 32 0
+8 0 1 0 0 18 24 32 0
+8 0 1 0 0 19 24 32 0
+8 0 1 0 0 20 24 32 0
+8 0 1 0 0 21 24 32 0
+8 0 1 0 0 22 24 32 0
+8 0 1 0 0 23 24 32 0
+8 0 1 0 0 24 24 32 0
+8 0 1 0 0 25 24 32 0
+8 0 1 0 0 26 24 32 0
+8 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 0
+8 0 0 0 0 2 24 32 0
+8 0 0 0 0 4 24 32 0
+8 0 0 0 0 6 24 32 0
+8 0 0 0 0 8 24 32 0
+8 0 0 0 0 10 24 32 0
+8 0 0 0 0 12 24 32 0
+8 0 0 0 0 14 24 32 0
+8 0 0 0 0 16 24 32 0
+8 0 0 0 0 18 24 32 0
+8 0 0 0 0 20 24 32 0
+8 0 0 0 0 22 24 32 0
+8 0 0 0 0 24 24 32 0
+8 0 0 0 0 26 24 32 0
+8 0 0 0 0 28 24 32 0
+8 0 0 0 0 30 24 32 0
+8 0 0 0 0 32 24 32 0
+8 0 0 0 0 34 24 32 0
+8 0 0 0 0 36 24 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0
+9 0 1 0 0 10 24 32 0
+9 0 1 0 0 11 24 32 0
+9 0 1 0 0 12 24 32 0
+9 0 1 0 0 13 24 32 0
+9 0 1 0 0 14 24 32 0
+9 0 1 0 0 15 24 32 0
+9 0 1 0 0 16 24 32 0
+9 0 1 0 0 17 24 32 0
+9 0 1 0 0 18 24 32 0
+9 0 1 0 0 19 24 32 0
+9 0 1 0 0 20 24 32 0
+9 0 1 0 0 21 24 32 0
+9 0 1 0 0 22 24 32 0
+9 0 1 0 0 23 24 32 0
+9 0 1 0 0 24 24 32 0
+9 0 1 0 0 25 24 32 0
+9 0 1 0 0 26 24 32 0
+9 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0
+10 0 1 0 0 10 24 32 0
+10 0 1 0 0 11 24 32 0
+10 0 1 0 0 12 24 32 0
+10 0 1 0 0 13 24 32 0
+10 0 1 0 0 14 24 32 0
+10 0 1 0 0 15 24 32 0
+10 0 1 0 0 16 24 32 0
+10 0 1 0 0 17 24 32 0
+10 0 1 0 0 18 24 32 0
+10 0 1 0 0 19 24 32 0
+10 0 1 0 0 20 24 32 0
+10 0 1 0 0 21 24 32 0
+10 0 1 0 0 22 24 32 0
+10 0 1 0 0 23 24 32 0
+10 0 1 0 0 24 24 32 0
+10 0 1 0 0 25 24 32 0
+10 0 1 0 0 26 24 32 0
+10 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 0
+10 0 0 0 0 2 24 32 0
+10 0 0 0 0 4 24 32 0
+10 0 0 0 0 6 24 32 0
+10 0 0 0 0 8 24 32 0
+10 0 0 0 0 10 24 32 0
+10 0 0 0 0 12 24 32 0
+10 0 0 0 0 14 24 32 0
+10 0 0 0 0 16 24 32 0
+10 0 0 0 0 18 24 32 0
+10 0 0 0 0 20 24 32 0
+10 0 0 0 0 22 24 32 0
+10 0 0 0 0 24 24 32 0
+10 0 0 0 0 26 24 32 0
+10 0 0 0 0 28 24 32 0
+10 0 0 0 0 30 24 32 0
+10 0 0 0 0 32 24 32 0
+10 0 0 0 0 34 24 32 0
+10 0 0 0 0 36 24 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0
+11 0 1 0 0 10 24 32 0
+11 0 1 0 0 11 24 32 0
+11 0 1 0 0 12 24 32 0
+11 0 1 0 0 13 24 32 0
+11 0 1 0 0 14 24 32 0
+11 0 1 0 0 15 24 32 0
+11 0 1 0 0 16 24 32 0
+11 0 1 0 0 17 24 32 0
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 19 24 32 0
+11 0 1 0 0 20 24 32 0
+11 0 1 0 0 21 24 32 0
+11 0 1 0 0 22 24 32 0
+11 0 1 0 0 23 24 32 0
+11 0 1 0 0 24 24 32 0
+11 0 1 0 0 25 24 32 0
+11 0 1 0 0 26 24 32 0
+11 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0
+12 0 1 0 0 10 24 32 0
+12 0 1 0 0 11 24 32 0
+12 0 1 0 0 12 24 32 0
+12 0 1 0 0 13 24 32 0
+12 0 1 0 0 14 24 32 0
+12 0 1 0 0 15 24 32 0
+12 0 1 0 0 16 24 32 0
+12 0 1 0 0 17 24 32 0
+12 0 1 0 0 18 24 32 0
+12 0 1 0 0 19 24 32 0
+12 0 1 0 0 20 24 32 0
+12 0 1 0 0 21 24 32 0
+12 0 1 0 0 22 24 32 0
+12 0 1 0 0 23 24 32 0
+12 0 1 0 0 24 24 32 0
+12 0 1 0 0 25 24 32 0
+12 0 1 0 0 26 24 32 0
+12 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 0
+12 0 0 0 0 2 24 32 0
+12 0 0 0 0 4 24 32 0
+12 0 0 0 0 6 24 32 0
+12 0 0 0 0 8 24 32 0
+12 0 0 0 0 10 24 32 0
+12 0 0 0 0 12 24 32 0
+12 0 0 0 0 14 24 32 0
+12 0 0 0 0 16 24 32 0
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 20 24 32 0
+12 0 0 0 0 22 24 32 0
+12 0 0 0 0 24 24 32 0
+12 0 0 0 0 26 24 32 0
+12 0 0 0 0 28 24 32 0
+12 0 0 0 0 30 24 32 0
+12 0 0 0 0 32 24 32 0
+12 0 0 0 0 34 24 32 0
+12 0 0 0 0 36 24 32 0
+
+